On the asymptotic analysis of mutual information of MIMO Rician correlated channels

In this paper, we show how to address the asymptotic behavior of the mutual information of correlated MIMO Ricean channels when the number of transmit and receive antennas converge to +∞ at the same rate. Our approach is based on the extensive use of the Stieljès transform of the Gram matrix of the channel matrix, and is inspired by previous works of Girko in the context of simpler models. We give a closed form expression of the first order approximation of the average mutual information, and evaluate the convergence rate of the corresponding error.